Perturbation determinants and discrete spectra of semi-infinite non-self-adjoint Jacobi operators
نویسندگان
چکیده
We study the trace class perturbations of half-line, discrete Laplacian and obtain a new bound for perturbation determinant corresponding non-self-adjoint Jacobi operator. Based on this bound, we Lieb–Thirring inequalities such operators. The spectral enclosure spectrum embedded eigenvalues are also discussed.
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ژورنال
عنوان ژورنال: Journal of spectral theory
سال: 2022
ISSN: ['1664-039X', '1664-0403']
DOI: https://doi.org/10.4171/jst/420